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Finding the Third Proportional to 338,029.50 and 505,991.25

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Solution

The third proportional to 338,029.50 and 505,991.25 is: 757,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,029.50 : 505,991.25 = 505,991.25 : x
  2. Step 2: Convert to fraction form
    338,029.50/505,991.25 = 505,991.25/x
  3. Step 3: Cross multiply
    338,029.50x = 505,991.25 × 505,991.25
  4. Step 4: Simplify right side
    338,029.50x = 256,027,145,076.56
  5. Step 5: Solve for x
    x = 256,027,145,076.56/338,029.50
  6. Step 6: Final answer
    x = 757,410.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.